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2 years ago

Equilateral triangle has an altitude length of 33 feet find a length of a side

Mathematics

1 answer:

gogolik [260]2 years ago

8 0

it should be 60

hope this helps

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A jogger runs 140 m due west, then changes direction for the second leg of her run. At the end of the run, she is 374 m away fro

USPshnik [31]

Answer:

The length of her second displacement = 247.12 m.

The direction of her second displacement = 31.24° from west.

Step-by-step explanation:

As per the question,

From the figure as drawn below,

Let the starting point be O. After running 140 m due west, she reached at point A.

∴ OA = 140 m

And At the end of the run, she is 374 m away from the starting point at an angle of 20° north of west.

∴ OP = 374 m

We have to find the distance AP = x.

By using the cosine rule in triangle OAP

$cos \theta = \frac{OA^{2}+OP^{2}-AP^{2}}{2\times OA\times OP}$

After putting the given value, we get

$cos 20= \frac{140^{2}+374^{2}-x^{2}}{2\times 140\times 374}$

$x^{2}=140^{2}+374^{2} - 2\times 140\times 374\times cos 20$

∴ x = 247.12 m

Hence,the length of her second displacement = 247.12 m.

Again,

By using the cosine rule in triangle OAP, we get

$cos \alpha = \frac{OA^{2}+AP^{2}-OP^{2}}{2\times OA\times AP}$

After putting the given value, we get

$cos \alpha = \frac{140^{2}+247.12^{2}-374^{2}}{2\times 140\times 247.12}$

∴ α = 148.759°

Hence, the direction of her second displacement = 180° - α = 180° - 148.759 = 31.24° from west.

8 0

3 years ago

Help asap please info in pic

SVETLANKA909090 [29]

D will be the answer shifter left 1 point

7 0

2 years ago

Find a coterminal angle between 0° and 360°.<br> 780

erastovalidia [21]

for an angle of 780°, we can say that is really a 360° + 360° + 60°, so two full revolutions plus an extra 60°. Check the picture below, with the coterminal in green.

3 0

2 years ago

How do you find the value for x? <br> Find the value of x ?

bogdanovich [222]

Answer:

x = 27

Step-by-step explanation:

Both angles together form 180 degree.

Set your formula up as

180 = (5x+2) + (x + 16)

180 = 5x + 2 + x + 16

180 = 6x + 18

180 - 18 = 6x

162 = 6x

162/6 = x

27 = x

5 0

2 years ago

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Evaluate 0.53n+5 when n=3 and when n=-3

melomori [17]

<span>0.53(3)+5 = 1.59 + 5 = 6.59 when n = 3
</span>0.53(-3)+5 = -1.59 + 5 = 3.41 when n = -3

4 0

3 years ago

Read 2 more answers